# The Excentral Triangle and a Related Hexagon

The Excentral Triangle and a Related Hexagon

Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B'', and C'' be the circumcenters of A'BC, B'CA, and C'AB, respectively. Let be the area of A'B'C' and be the area of the hexagon AB''CA''BC''. Then .

T

H

T=2H